12478790016 has 960 divisors, whose sum is σ = 49244580000. Its totient is φ = 3129477120.

The previous prime is 12478789997. The next prime is 12478790033. The reversal of 12478790016 is 61009787421.

It is a happy number.

12478790016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 430303090 + ... + 430303118.

Almost surely, 2^12478790016 is an apocalyptic number.

12478790016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12478790016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24622290000).

12478790016 is an abundant number, since it is smaller than the sum of its proper divisors (36765789984).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12478790016 is an equidigital number, since it uses as much as digits as its factorization.

12478790016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 12478790016 in words is "twelve billion, four hundred seventy-eight million, seven hundred ninety thousand, sixteen".